Numerical Solution of a Model Problem From Collapse Load Analysis

Cover Numerical Solution of a Model Problem From Collapse Load Analysis
Numerical Solution of a Model Problem From Collapse Load Analysis
Micheal L Overton
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Finally, ponding to the constraint (1. 3c) must be added. The matrix th long which the the first diagonal ve function values s common value, is, to other regions , since any direc- ions with constant e common function orresponding block, from the boundary regions form their responding to, which contain no one column corres- us has the form: A = 1 1 1 -1 -1 L_ 1 1 , • '"2 Storing and factoring A would be prohibitively expensive. Fortunately, this is not necessary. A full rank matrix Z which span...s N(A') can be written in the following form: Z = (row a, ) (row Qp) (row y) where (3. 3) Note that Z is not orthogonal, Whteh "WouW be desirable for numerical stability. However, this is' not critical. We must rhowever: ensure that we do not divide by a small number in (3. 3). To avoid this'; the'Targest of the values |c |, ... , |c^| is used, with the rows interchanged accordingly. (Strictly speaking, there might be no single free interior points, i. E. Y > fi. But in this unlikely case the definition of Z can be changed to have two or more dense rows instead of one.

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